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116460622144 = 2617521205453
BaseRepresentation
bin110110001110110011…
…0000001000101000000
3102010121100012120211201
41230131212001011000
53402002404402034
6125300135150544
711262000645346
oct1543546010500
9363540176751
10116460622144
1145432a92159
121a6a2515454
13ac9cb41449
1458cb257996
1530693bb014
hex1b1d981140

116460622144 has 56 divisors (see below), whose sum is σ = 245166614568. Its totient is φ = 54699540480.

The previous prime is 116460622133. The next prime is 116460622177. The reversal of 116460622144 is 441226064611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 239630400 + 116220991744 = 15480^2 + 340912^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464122 + ... + 669574.

Almost surely, 2116460622144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116460622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122583307284).

116460622144 is an abundant number, since it is smaller than the sum of its proper divisors (128705992424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116460622144 is a wasteful number, since it uses less digits than its factorization.

116460622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206003 (or 205993 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

Adding to 116460622144 its reverse (441226064611), we get a palindrome (557686686755).

The spelling of 116460622144 in words is "one hundred sixteen billion, four hundred sixty million, six hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 521 544 1042 1088 2084 4168 8336 8857 16672 17714 33344 35428 70856 141712 205453 283424 410906 566848 821812 1643624 3287248 3492701 6574496 6985402 13148992 13970804 27941608 55883216 107041013 111766432 214082026 223532864 428164052 856328104 1712656208 1819697221 3425312416 3639394442 6850624832 7278788884 14557577768 29115155536 58230311072 116460622144